213183320 has 96 divisors (see below), whose sum is σ = 582357600. Its totient is φ = 69898752.

The previous prime is 213183319. The next prime is 213183337. The reversal of 213183320 is 23381312.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42716 + ... + 47444.

It is an arithmetic number, because the mean of its divisors is an integer number (6066225).

Almost surely, 2^213183320 is an apocalyptic number.

213183320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213183320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291178800).

213183320 is an abundant number, since it is smaller than the sum of its proper divisors (369174280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213183320 is a wasteful number, since it uses less digits than its factorization.

213183320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 213183320 is about 14600.7986082954. The cubic root of 213183320 is about 597.3805436862.

The spelling of 213183320 in words is "two hundred thirteen million, one hundred eighty-three thousand, three hundred twenty".